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Finding the Fourth Proportional to 8,051.05, 11,291.95 and 8,051.05

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Solution

The fourth proportional to 8,051.05, 11,291.95 and 8,051.05 is: 11,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.05 : 11,291.95 = 8,051.05 : x
  2. Step 2: Convert to fraction form
    8,051.05/11,291.95 = 8,051.05/x
  3. Step 3: Cross multiply
    8,051.05x = 11,291.95 × 8,051.05
  4. Step 4: Simplify right side
    8,051.05x = 90,912,054.05
  5. Step 5: Solve for x
    x = 90,912,054.05/8,051.05
  6. Step 6: Final answer
    x = 11,291.95

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.